On a Golden deformation of paracontact structures

The main purpose of this article is to define the concept of Golden deformation via the relationship between Golden structure and paracontact structure on the almost paracontact para-Norden manifold. The Riemannian connection is obtained on the Golden-deformed para-Sasaki-like para-Norden manifold. After obtaining the Riemannian connection, the curvature tensor, scalar curvature, *-scalar curvature and Ricci tensor are obtained. Finally, an example is provided on the Golden-deformed 5-dimensional para-Sasaki-like para-Norden manifold.

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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2509035a
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00
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article

On a Golden deformation of paracontact structures

Rabia Çakan Akpınar, Esen Kemer Kansu
Filomat
Geometric Analysis and Curvature Flows
article

On a Golden deformation of paracontact structures

Rabia Çakan Akpınar, Esen Kemer Kansu
article en

Abstract

The main purpose of this article is to define the concept of Golden deformation via the relationship between Golden structure and paracontact structure on the almost paracontact para-Norden manifold. The Riemannian connection is obtained on the Golden-deformed para-Sasaki-like para-Norden manifold. After obtaining the Riemannian connection, the curvature tensor, scalar curvature, *-scalar curvature and Ricci tensor are obtained. Finally, an example is provided on the Golden-deformed 5-dimensional para-Sasaki-like para-Norden manifold.

FilomatVol. 39(9)
Kafkas University (TR)
Sustainable cities and communities
Openalex Percentile: Top 70%
Geometric Analysis and Curvature Flows
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